Search a number
-
+
211050197604 = 223223233292
BaseRepresentation
bin1100010010001110010…
…0100111001001100100
3202011202110011212220100
43010203210213021210
511424212322310404
6240542150104100
721151010036361
oct3044344471144
9664673155810
10211050197604
1181562375214
1234aa034b030
1316b95770b3c
14a3018db468
15575362bd39
hex3123927264

211050197604 has 81 divisors (see below), whose sum is σ = 557859189433. Its totient is φ = 67271153664.

The previous prime is 211050197597. The next prime is 211050197623. The reversal of 211050197604 is 406791050112.

The square root of 211050197604 is 459402.

It is a perfect power (a square), and thus also a powerful number.

211050197604 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 501 + 97 + 60 + 4 = 666.

211050197604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 82312757604 + 128737440000 = 286902^2 + 358800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63395812 + ... + 63399140.

Almost surely, 2211050197604 is an apocalyptic number.

211050197604 is the 459402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211050197604

211050197604 is an abundant number, since it is smaller than the sum of its proper divisors (346808991829).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211050197604 is an equidigital number, since it uses as much as digits as its factorization.

211050197604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 211050197604 by its sum of digits (36), we get a square (7597807113744 = 27564122).

211050197604 divided by its sum of digits (36) gives a square (5862505489 = 765672).

The spelling of 211050197604 in words is "two hundred eleven billion, fifty million, one hundred ninety-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 3329 4761 6348 6658 9522 9987 13316 19044 19974 29961 39948 59922 76567 119844 153134 229701 306268 459402 689103 918804 1378206 1761041 2756412 3522082 5283123 7044164 10566246 11082241 15849369 21132492 22164482 31698738 33246723 44328964 63397476 66493446 99740169 132986892 199480338 254891543 398960676 509783086 764674629 1019566172 1529349258 2294023887 3058698516 4588047774 5862505489 9176095548 11725010978 17587516467 23450021956 35175032934 52762549401 70350065868 105525098802 211050197604